Transformations of Quadratic Functions Explained

This video tutorial covers transformations of quadratic functions, focusing on how changes in the equation affect the graph. It explains the quadratic parent function, the impact of the coefficient 'a' on the parabola's shape, and how adding or subtracting values results in vertical and horizontal shifts. The video also discusses function notation and vertex form, emphasizing the relationship between different notations and the vertex point.

What is the quadratic parent function?

• f(x) = x

• f(x) = x^2

• f(x) = 2x

• f(x) = x^3

Tags

CCSS.HSF-IF.C.7A

What happens to the parabola if the coefficient 'a' is positive?

• It becomes a straight line

• It disappears

• It opens upward

• It opens downward

If 'a' is negative, what transformation occurs?

• The parabola shifts to the left

• The parabola shifts to the right

• The parabola reflects over the x-axis

• The parabola reflects over the y-axis

What is the effect of 'a' being greater than 1?

• The parabola shifts downward

• The parabola shifts upward

• The parabola gets narrower

• The parabola gets wider

What is the effect of 'a' being between 0 and 1?

• The parabola gets wider

• The parabola gets narrower

• The parabola shifts upward

• The parabola shifts downward

What happens when you add a number outside the function?

• Horizontal shift

• No change

• Vertical shift

• Reflection

What is the result of subtracting a number outside the function?

• Vertical shift up

• Vertical shift down

• Horizontal shift right

• Horizontal shift left

What does adding a positive number inside the function cause?

• Vertical shift down

• Vertical shift up

• Horizontal shift right

• Horizontal shift left

What does adding a negative number inside the function cause?

• Vertical shift down

• Vertical shift up

• Horizontal shift right

• Horizontal shift left

In vertex form, what do 'h' and 'k' represent?

• The axis of symmetry

• The roots of the equation

• The vertex point

• The coefficients of x and y